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Finding the Fourth Proportional to 138,062.53, 207,247.53 and 71,484.78

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Solution

The fourth proportional to 138,062.53, 207,247.53 and 71,484.78 is: 107,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,062.53 : 207,247.53 = 71,484.78 : x
  2. Step 2: Convert to fraction form
    138,062.53/207,247.53 = 71,484.78/x
  3. Step 3: Cross multiply
    138,062.53x = 207,247.53 × 71,484.78
  4. Step 4: Simplify right side
    138,062.53x = 14,815,044,087.59
  5. Step 5: Solve for x
    x = 14,815,044,087.59/138,062.53
  6. Step 6: Final answer
    x = 107,306.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.